Question
Does (19, 6) make the equation y = –x2 − –55 true?
Answers
GPT-4o mini
To check if the point (19, 6) satisfies the equation \( y = -x^2 - 55 \), we will substitute \( x = 19 \) into the equation and see if the resulting value of \( y \) equals 6.
1. Substitute \( x = 19 \) into the equation:
\[
y = - (19^2) - 55
\]
2. Calculate \( 19^2 \):
\[
19^2 = 361
\]
3. Substitute this value back into the equation:
\[
y = -361 - 55
\]
4. Now perform the addition:
\[
y = -416
\]
Now we can see that when \( x = 19 \), \( y \) is calculated to be -416, not 6.
Therefore, the point (19, 6) does not satisfy the equation \( y = -x^2 - 55 \).
1. Substitute \( x = 19 \) into the equation:
\[
y = - (19^2) - 55
\]
2. Calculate \( 19^2 \):
\[
19^2 = 361
\]
3. Substitute this value back into the equation:
\[
y = -361 - 55
\]
4. Now perform the addition:
\[
y = -416
\]
Now we can see that when \( x = 19 \), \( y \) is calculated to be -416, not 6.
Therefore, the point (19, 6) does not satisfy the equation \( y = -x^2 - 55 \).